Would I qualify for a 0% or 0.9% loan?

Would I qualify for a 0% or 0.9% loan?

I still have some time before I get a new car but I'm asking for help now becasue if I need to start a GW letter campaign then I probably need to get on that sooner rather than later. So here's my situation:

I had a metric ton of late-pay's from a Capital One auto loan that was paid off back in March of 2013 (many of them were in consecutive bunches). I've done all I can do in terms of building up my profile and now it's just a waiting game. I'm down to my last "string": 8 total, 6 of which are consecutive. The stragglers are from Jan 2012 and Feb 2013. The string will be gone by this August and the January 2012 30-day-late will be gone by November. Hence the above mentioned time frame of 9 months.

My goal is to qualify for one of those captive lender 0% or 0.9% loans.

My questions are these:

Would I be able to quality for such a loan with a single 30-day-late remaining in my file?

Would I qualify anyway -- never mind the remaining late-pay -- given how young my profile is (AAoA 2.6 years, AoYA 5 months)?

Though my lowest FICO 8 is 700, which isn't good, my Auto score is even worse at 690. I have no clue how much those late-pay's are holding my score down and so obviously I have even less of a clue what kind of score bump I'll get when 7 of 8 are gone, but it may be that late-pay's or no late-pay's my file simply isn't good enough for such a rate. If that's true then I doubt one single late-pay will matter much to whatever percentage rate I get.

Thoughts? Suggestions?

Thanks everyone for your time. I very much appreciate any and all help.

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Many factors affect your FICO Scores and the interest rates you may receive. Fair Isaac is not a credit repair organization as defined under federal or state law, including the Credit Repair Organizations Act. Fair Isaac does not provide "credit repair" services or advice or assistance regarding "rebuilding" or "improving" your credit record, credit history or credit rating.
FTC's website on credit.

IMPORTANT INFORMATION: All FICO® Score products made available on myFICO.com include a FICO® Score 8, along with additional FICO® Score versions. Your lender or insurer may use a different FICO® Score than the versions you receive from myFICO, or another type of credit score altogether. Learn more

FICO, myFICO, Score Watch, The score lenders use, and The Score That Matters are trademarks or registered trademarks of Fair Isaac Corporation. Equifax Credit Report is a trademark of Equifax, Inc. and its affiliated companies. Many factors affect your FICO Score and the interest rates you may receive. Fair Isaac is not a credit repair organization as defined under federal or state law, including the Credit Repair Organizations Act. Fair Isaac does not provide "credit repair" services or advice or assistance regarding "rebuilding" or "improving" your credit record, credit history or credit rating. FTC's website on credit.